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Gravitation and Gauge Symmetries




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Dettagli

Genere:Libro
Lingua: Inglese
Pubblicazione: 10/2001
Edizione: 1° edizione





Trama

Gravitation and Gauge Symmetries sheds light on the connection between the intrinsic structure of gravity and the principle of gauge invariance. The first part of the book gives a systematic account of the structure of gravity as a theory based on spacetime gauge symmetries, discussing basic properties of space, time, and gravity; conformal symmetries; the constrained Hamiltonian of Poincar gauge theory; gravitational energy; and conserved quantities. The second part explores the most promising attempts to build a unified field theory containing gravity. Coverage includes nonlinear field theory, supersymmetry, supergravity, Kaluza-Klein theory, and string theory.




Note Editore

In the course of the development of electromagnetic, weak and strong interactions, the concept of (internal) gauge invariance grew up and established itself as an unavoidable dynamical principle in particle physics. It is less known that the principle of equivalence, and the basic dynamical properties of the gravitational interaction can also be expressed as a (spacetime) gauge symmetry.Gravitation and Gauge Symmetries sheds light on the connection between the intrinsic structure of gravity and the principle of gauge invariance, which may lead to a consistent unified field theory. The first part of the book gives a systematic account of the structure of gravity as a theory based on spacetime gauge symmetries. Some basic properties of space, time, and gravity are reviewed in the first, introductory chapter. The next chapter deals with elements of global Poincaré and conformal symmetries, which are necessary for the exposition of their localizations; the structure of the corresponding gauge theories of gravity is explored in chapters 3 and 4. Then, in chapters 5 and 6, we present the basic features of the constrained Hamiltonian of Poincaré gauge theory, discuss the relation between gauge symmetries and conservation laws, and introduce the concept of gravitational energy and other conserved quantities. The second part of the book explores the most promising attempts to build a unified field theory containing gravity, on the basis of the gauge principle. The author presents the possibility to constrict the theory of gravity as a nonlinear field theory in flat spacetime. The final chapters yield an exposition of the ideas of supersymmetry and supergravity, Kaluza-Klein theory, and string theory.Gravitation and Gauge Symmetries will be of interest to postgraduate students and researchers in gravitation, high energy physics and mathematical physics.




Sommario

PrefaceSpace, Time and Gravitation Relativity of space and timeGravitation and geometrySpacetime SymmetriesPoincaré symmetryConformal symmetryPoincaré Gauge TheoryPoincaré gauge invariance Geometric interpretationGravitational dynamics Weyl Gauge TheoryWeyl gauge invarianceWeyl-Cartan geometryDynamicsHamiltonian Dynamics Constrained Hamiltonian dynamics The gravitational HamiltonianSpecific modelsSymmetries and Conservation LawsGauge symmetriesConservation laws-EC theoryConservation laws-the teleparallel theoryChern-Simons gauge theory in D = 3Gravity in Flat SpacetimeTheories of long range forces Attempts to build a realistic theoryNonlinear Effects in GravityNonlinear effects in Yang-Mills theory Scalar theory of gravity Tensor theory of gravity The first order formalismSupersymmetry and SupergravitySupersymmetryRepresentations of supersymmetrySupergravityKaluza-Klein TheoryBasic ideas Five-dimensional KK theory Higher-dimensional KK theoryString Theory Classical bosonic strings Oscillator formalismFirst quantizationCovariant field theory General remarksAppendicesA: Local internal symmetries B: Differentiable manifoldsC: De Sitter gauge theoryD: The scalar-tensor theoryE: Ashtekar's formulation of GR F: Constraint algebra and gauge symmetries G: Covariance, spin and interaction of massless particles H: Lorentz group and spinors I: Poincaré group and massless particles J: Dirac matrices and spinors K: Symmetry groups and manifolds L: Chern-Simons gravity in three dimensions M: Fourier expansion Bibliography Notations and ConventionsIndex










Altre Informazioni

ISBN:

9780750307673

Condizione: Nuovo
Collana: Series in Particle Physics, Cosmology and Gravitation
Dimensioni: 9.25 x 6.25 in Ø 2.05 lb
Formato: Brossura
Pagine Arabe: 536


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